dorsal/arxiv
View SchemaRelativistic BB84, relativistic errors, and how to correct them
| Authors | Marek Czachor, Marcin Wilczewski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303077 |
| URL | https://arxiv.org/abs/quant-ph/0303077 |
| DOI | 10.1103/PhysRevA.68.010302 |
| Journal | Phys. Rev. A 68 (2003) 010302(R) |
Abstract
The Bennett-Brassard cryptographic scheme (BB84) needs two bases, at least one of them linearly polarized. The problem is that linear polarization formulated in terms of helicities is not a relativistically covariant notion: State which is linearly polarized in one reference frame becomes depolarized in another one. We show that a relativistically moving receiver of information should define linear polarization with respect to projection of Pauli-Lubanski's vector in a principal null direction of the Lorentz transformation which defines the motion, and not with respect to the helicity basis. Such qubits do not depolarize.
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"abstract": "The Bennett-Brassard cryptographic scheme (BB84) needs two bases, at least\none of them linearly polarized. The problem is that linear polarization\nformulated in terms of helicities is not a relativistically covariant notion:\nState which is linearly polarized in one reference frame becomes depolarized in\nanother one. We show that a relativistically moving receiver of information\nshould define linear polarization with respect to projection of\nPauli-Lubanski\u0027s vector in a principal null direction of the Lorentz\ntransformation which defines the motion, and not with respect to the helicity\nbasis. Such qubits do not depolarize.",
"arxiv_id": "quant-ph/0303077",
"authors": [
"Marek Czachor",
"Marcin Wilczewski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.010302",
"journal_ref": "Phys. Rev. A 68 (2003) 010302(R)",
"title": "Relativistic BB84, relativistic errors, and how to correct them",
"url": "https://arxiv.org/abs/quant-ph/0303077"
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